What is (x^2+9x+20)/(2x+8) ?

The solution to (x^2+9x+20)/(2x+8) is (x+5)/2

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simplify (x^2+9x+20)/(2x+8)

simplify

\frac{x ^{2} + 9 x + 20}{2 x + 8}

\frac{x + 5}{2}

Solution steps

\frac{x ^{2} + 9 x + 20}{2 x + 8}

Factor

x^{2} + 9 x + 20 : (x + 4) (x + 5)

= \frac{( x + 4 ) ( x + 5 )}{2 x + 8}

Factor

2 x + 8 : 2 (x + 4)

= \frac{( x + 4 ) ( x + 5 )}{2 ( x + 4 )}

Cancel the common factor:

x + 4

= \frac{x + 5}{2}

(x + 2) \cdot (x - 2)

(2 x - 1) (4 x^{2} + 2 x + 1)

(2 x + 1) (x - 1)

48 - 12

lo g_{10} (49)